LCM for 24 and 64
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What's the Least Common Multiple (LCM) of 24 and 64?
Answer
LCM of 24 and 64 is
192
First common multiples: 192, 384, 576, …
192 is divisible by both: 192 ÷ 24 = 8, 192 ÷ 64 = 3 — and 8 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/24 by 8 and of y/64 by 3.
24 = 23 × 3
64 = 26
| Prime | 24 | 64 | Highest power |
|---|---|---|---|
| 2 | 23 | 26 | 26 |
| 3 | 3 | — | 3 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 3 = 192
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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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